Finding the Third Proportional to 11,689 and 16,401

Step by Step Solution

1. Step 1: Write the proportion equation
   11,689 : 16,401 = 16,401 : x
2. Step 2: Convert to fraction form
   11,689/16,401 = 16,401/x
3. Step 3: Cross multiply
   11,689x = 16,401 × 16,401
4. Step 4: Simplify right side
   11,689x = 268,992,801
5. Step 5: Solve for x
   x = 268,992,801/11,689
6. Step 6: Final answer
   x = 23,012.47